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Numerical solution of two-dimensional integral equations of the first kind by multi-step methods | ||
| Computational Methods for Differential Equations | ||
| مقاله 3، دوره 4، شماره 2، تیر 2016، صفحه 128-138 اصل مقاله (418.36 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Seyed Musa Torabi؛ Abolfazl Tari Marzabad* | ||
| Department of Mathematics, Shahed University, Tehran, Iran | ||
| چکیده | ||
| In this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind. Here, we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equation numerically by multi-step methods. We also verify convergence and error analysis of the method. At the end, we give some illustrative examples to show the efficiency and accuracy of the presented method. | ||
| کلیدواژهها | ||
| Two-dimensional nonlinear Volterra integral equations؛ Integral equations of the first kind؛ Multi-step methods | ||
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